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gizmo_the_mogwai [7]
3 years ago
7

OC and OR are similar. Find the length of QP.

Mathematics
1 answer:
Elena L [17]3 years ago
5 0

Given:

Circle C and circle R are similar.

The length of arc AB is s = \frac{22 \pi}{9}

The radius of circle C (AC) = 4 unit

The radius of circle R (QR) =6 unit

To find the length of arc QP.

Formula

The relation between s,  r and \theta is

arclength = 2\pi r \frac{\theta}{360}

where,

s be the length of the arc

r be the radius

\theta be the angle.

Now,

For circle C

Taking r = 4

According to the problem,

2 \pi r \frac{\theta}{360} = \frac{22 \pi}{9}

or, 2r \frac{\theta}{360} = \frac{22}{9} [ eliminating \theta from both side]

or, \theta = \frac{(22)(360)}{(9)(2)(4)}

or, \theta = 110^\circ

Again,

For circle R

Taking, r = 6 and \theta = 110^\circ we get,

The length of arc QP is

arc length = 2\pi (6)(\frac{110}{360} )

or, arclength = \frac{11 \pi}{3}

Hence,

The length of QP is \frac{11 \pi}{3}. Option C.

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vlada-n [284]
Lowest common denominator-> 6
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2/3 is the simplest form to your question.
7 0
3 years ago
Which of the following statements is always true about similar polygons
Ganezh [65]
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Hope this helps.
3 0
3 years ago
Please help me with this I really need help r-12=25 :r=37
natta225 [31]

Answer:

it's self explanatory 25

Step-by-step explanation:

r -12 = 25

r = 37

37 - 12 = 25

6 0
3 years ago
Can someone help me with this ASAP please I’m being timed !
denpristay [2]

Answer:

The second option (choice b)

Step-by-step explanation:

At -1 is the line starts going up so its increasing. 2 shows that the line is starting to decrease so it would be between -1 and 1 where the line is increasing on the graph.

6 0
3 years ago
Difference between 1 8/10 and 2 2/5
Eva8 [605]
The first step to solving this is converting these mixed numbers into improper fractions. You would do that by multiplying the denominator by the whole number and adding the numerator to that number; this number replaces the numerator. It would look something like this:

1 8/10   -->   18/10
2 2/5   -->   12/5

Now, to subtract the second fraction from the first one, the denominators of both fractions must be the same. We can make them the same by multiplying the second fraction by 2:

12/5 * 2/2 = 24/10

Now we can set up the equation as:

18/10 - 24/10 = -6/10   -->   -3/5

The answer is negative 3/5.

I hope this helps.
5 0
2 years ago
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